Question

Apply the distributive property to factor out the greatest common factor. Use the numbers and variables below to fill in the boxes.

Answer 1

In order to factorate the expression 18x + 24, we need to find the greatest common factor (GCF) of 18 and 24.

First, factoring these numbers, we have:

$\begin{gathered} 18\to2\cdot3\cdot3 \\ 24\to2\cdot2\cdot2\cdot3 \end{gathered}$

The common factors of these numbers are 2 (one time) and 3 (one time), so the GCF will be 2 * 3 = 6

Now, factoring this expression puting 6 in evidence, we have:

$\begin{gathered} 18x+24 \\ =6\cdot(\frac{18x}{6}+\frac{24}{6}) \\ =6\cdot(3x+4) \end{gathered}$

So the expressions that will go in each box are 6, 3x and 4